Answer:
[tex]\sqrt{2}a[/tex]
Step-by-step explanation:
Suppose we have two points:
[tex]A = (x_{1}, y_{1})[/tex]
[tex]B = (x_{2}, y_{2})[/tex]
The distance between these points is:
[tex]D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
In this question:
We have to find the difference between these two points.
(0, a) and (a,0). So
[tex]D = \sqrt{(a - 0)^{2} + (0 - a)^{2}} = \sqrt{a^{2} + a^{2}} = \sqrt{2a^{2}} = \sqrt{a^{2}}\sqrt{2} = \sqrt{2}a[/tex]
So the answer is:
[tex]\sqrt{2}a[/tex]
